Based on available publications, the article systematizes information about some forms of lesions of the central nervous system (CNS), their pathogenesis and clinical manifestations in the case of COVID-19. The risk factors, mechanisms of development, diagnostic approach, and the age characteristics of patients with neurological complications of COVID-19 are discussed. The specific mechanisms of the neuroinvasiveness and neurovirulence of the SARS-CoV-2 virus, regardless of the age of patients and the presence of risk factors, lead to systemic damage to the endothelium of small-caliber vessels, generalized thrombovasculitis, and an increased risk of ischemic and hemorrhagic strokes. At the same time, the most vulnerable category is elderly and senile patients with cardiovascular and metabolic disorders (arterial hypertension, obesity, diabetes mellitus), which sharply worsen treatment outcomes. The clinical experience accumulated during the COVID-19 pandemic indicates the development of the following most frequent post-covid neurological complications and consequences in mainly elderly and senile patients: cranial mononeuropathies, chemosensory dysfunction, encephalopathy, insomnia, stroke, acute meningoencephalitis, acute disseminated encephalomyelitis, acute polyneuropathy Guillain–Barré syndrome, and transverse myelitis. The benefits of vaccination against COVID-19 far outweigh the risks of possible post-vaccination neurological complications and consequences, especially in elderly and senile patients.